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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2012

  • question_answer
        The radius R of the soap bubble is doubled under isothermal condition. If T be the surface tension of soap bubble. The work done in doing so is given by

    A)  \[32\pi {{R}^{2}}T\]                       

    B)  \[24\pi {{R}^{2}}T\]

    C)  \[8\pi {{R}^{2}}T\]                          

    D)  \[4\pi {{R}^{2}}T\]

    Correct Answer: A

    Solution :

                    Initial surface energy \[{{W}_{1}}=2\times 4\pi {{R}^{2}}T=8\pi {{R}^{2}}T\] Final surface energy \[{{W}_{2}}=2\times 4\pi {{(2R)}^{2}}T=32\pi {{R}^{2}}T\]


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